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Finding the Fourth Proportional to 566.34, 853.16 and 559.17

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Solution

The fourth proportional to 566.34, 853.16 and 559.17 is: 842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.34 : 853.16 = 559.17 : x
  2. Step 2: Convert to fraction form
    566.34/853.16 = 559.17/x
  3. Step 3: Cross multiply
    566.34x = 853.16 × 559.17
  4. Step 4: Simplify right side
    566.34x = 477,056.65
  5. Step 5: Solve for x
    x = 477,056.65/566.34
  6. Step 6: Final answer
    x = 842.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.